Thesis (Ph. D.)--York University, 1999. Graduate Programme in Philosophy. / Typescript. Includes bibliographical references (leaves 143-148). Also available on the Internet. MODE OF ACCESS via web browser by entering the following URL: http://wwwlib.umi.com/cr/yorku/fullcit?pNQ43451.

Inaug.-diss.--Marburg.

Inaug.-diss.--Göttingen. / Lebenslauf.

This thesis describes two studies of baroclinic instability in a rotating fluid annulus subject to differential heating. The first part is concerned with the development of a time dependent axisymmetric numerical model. The model was formulated using the control volume finite element method and was designed to be as flexible as possible both in terms of the range of problems to be studied and the techniques used to study them. Details of these techniques are presented together with a discussion of their limitations and possible refinements and extensions which could be made. The second part of this thesis describes a numerical study of unstable normal mode perturbations which can develop on a prescribed mean state. The growth rate and structure of these modes are examined for various background states and the relevance of these results to laboratory measurements is discussed. Evidence is presented to suggest the possible presence of hitherto unobserved baroclinic weak waves in an internally heated annulus system.

Inaug.-diss.--Marburg.

Thesis (Ph. D.)--University of Chicago, 1913. / "A private edition distributed by the University of Chicago libraries." Reprinted from the Transactions of the American mathematical society, v. 17, no. 1, January, 1916.

Thesis (Ph. D.)--University of California, Los Angeles, 1963. / Photocopy of typescript. Ann Arbor, Mich., University Microfilms, 1967. 22 cm. Vita. Bibliography: leaves 170-171.

This thesis examines buoyancy driven steady flows in mouths of sea straits and around coastal protrusions. At high latitudes, the Coriolis force keeps these currents banked against the coast even around relatively sharp re-entrant (convex) corners with radii of curvature that are comparable to the width of the current. On the other hand, if the radius of curvature of the corner is much smaller than the width of the current, the current may leave the coast at the apex of the corner. A central part of the thesis is the solution of the nonlinear problem of a steady inviscid reduced gravity flow in a wedge, 0<θ<π/a (with a>l/2), around a sharp corner on an f-plane. An exponential upper layer upstream depth profile, h=Hexp(-x/X) (where x and X are the offshore distance and the current width scale, respectively), is combined with conservation of potential vorticity, Bernoulli and transport equations. The resulting nonlinear equations are expanded in a Rossby number ∈=V/fX (where f is the Coriolis parameter and V is the upstream boundary value of velocity). The 0(1) and 0(∈) equations are solved. First, they are simplified via transformations of the transport streamfunction variables: ⍦₀=p⁴ʹ³ and ⍦₁=2p¹ʹ³q. By modifying the results of Bromwich's (1915) and Whipple's (1916) diffraction theory, the 0(1) solution is expressed in a compact integral form, [formula omitted] The 0(∈) contribution q is calculated using an approximate Green's function method. The wedge of an angle 3π/2 (a=2/3) is used as an example to show details of the solution. The results exhibit the relative importance of the centrifugal, Coriolis and pressure gradient forces. Centrifugal upwelling (surfacing) of the interface occurs very close to the apex. For a rounded re-entrant corner, the upwelling is important only if the radius of curvature is much smaller than the lateral scale X. liorever, for re-entrant corners, the flow is supercritical within an arc, whose size depends upon the Rossby number and the angle of the wedge. Using two or more corner solutions, plausible flow streamlines can be generated in more complicated domains, as long as no two corners are closer than the Rossby radius of deformation. This procedure is illustrated with two examples: (a) circulation in a channel mouth and (b) flow around a square bump in a coastline. Finally, baroclinic circulation is modeled for boundaries that approximate coastlines near the mouth of Hudson Strait. / Science, Faculty of / Earth, Ocean and Atmospheric Sciences, Department of / Graduate

Thesis (S.M.)--Joint Program in Physical Oceanography (Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences and the Woods Hole Oceanographic Institution), 2002. / Includes bibliographical references (p. 75-77).

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